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Finding the Fourth Proportional to 8,284.40, 12,443.06 and 4,959.08

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Solution

The fourth proportional to 8,284.40, 12,443.06 and 4,959.08 is: 7,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.40 : 12,443.06 = 4,959.08 : x
  2. Step 2: Convert to fraction form
    8,284.40/12,443.06 = 4,959.08/x
  3. Step 3: Cross multiply
    8,284.40x = 12,443.06 × 4,959.08
  4. Step 4: Simplify right side
    8,284.40x = 61,706,129.98
  5. Step 5: Solve for x
    x = 61,706,129.98/8,284.40
  6. Step 6: Final answer
    x = 7,448.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.